Morita's projectivity conjecture for integral models of Shimura varieties

Let $(G,\mathcal{X})$ be the Shimura datum under consideration, let $G^{\operatorname{ad}}$ be its adjoint group, let $N\in\mathbb{N}$ with $N\geq 3$, and let $\mathcal{N}(N)$ be the integral model over $O(G,\mathcal{X})[{1\over N}]$. Morita's conjecture. If the $\mathbb{Q}$-rank of $G^{\operatorname{ad}}$ is $0$, then $\mathcal{N}(N)$ is projective over $O(G,\mathcal{X})[{1\over N}]$. This conjecture predicts projectivity of the integral model in the anisotropic adjoint case, paralleling projectivity of the complex Shimura variety. Its resolution status is not specified in the supplied text.